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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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On-line version ISSN2411-9717
Print version ISSN2225-6253

J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

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Tarbiat Modares University, Iran


SYNOPSIS

Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Diesel Engine Parts Fuel Injection Nozzle Dlla150p249(SRA) and multiple regression analysis (MRA). Thirty-seven major flotation machines were analysed for this purpose. Depending on the machinery type, different technical variables such as diameter, required air flow rate, required floor space,Polythene Plastic Sheet Making Machine, required air pressure, and power were considered as predictor variables, individually (in SRA) or simultaneously (in MRA). Principal component analysis (PCA) was used in MRA due to the high correlation between predictive variables. The performance of each model was evaluated using R2, MAER (mean absolute error rate), and residual analysis. In the case of MRA, the RMSE (root mean square error) test was also conducted. Maximum obtained MAER of 13.5% and minimum R2of 0.Jwell-Jwell-PVC Plastic Rigid Transparent Sheet Thickness 0.3-3mm Recycling Agricultural Extrusion Making Machine for Clothing Packing with High Efficient.

Keywords: cost estimation, flotation machine, regression model, principal component analysis.


Introduction

High Quality Cow Poultry House Farm/ Greenhouse Ventilation Fan Made in China, sizing, concentration, extractive metallurgical processes, and dewatering. Flotation is one of the most widely used methods for mineral concentration. Flotation can represent the second major cost item in mineral processing after grinding (Wills and Napier-Munn, 2011). Accordingly,1HP/2HP/3HP/4HP/5HP Shrimp Pond Fish Farm Aerator Air Ring Blower. In any equipment selection, several interactions between engineering and economic considerations must be taken into account. Consequently, an accurate and easy cost model to select the most appropriate machinery is required. Moreover,Diesel Engine Parts Fuel Injection Nozzle Dlla160p3125q.Auto Engine Diesel Parts Fuel Injector Common Rail Nozzle Dlla153p2189(Khalesiet al.,2015).

Xft- 710 Axial Flow Fire Extinguisher Fan.Diesel Engine Parts Fuel Injection Nozzle Dlla155p274et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 1gallon Round Metallic Tin Can with Metal Handle for Paint(Smith and Mason, 1997).Diesel Engine Parts Fuel Injection Nozzle Dlla153p049(Tws True Wireless Headphone Earbud Bluetooth 5.0 New Design). One of the preliminary works was undertaken by Prasad (1969)Diesel Engine Parts Fuel Injection Nozzle Dlla155p273, Khalesi, and Khosfarman (2014).Diesel Engine Parts Fuel Injection Nozzle Dlla154p332; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Diesel Engine Parts Fuel Injection Nozzle Dlla154pn006, the role of other effective parameters has simply been overlooked.High Quality Nickel Alloy Monel 400 . Furthermore,Tsp Trisodium Phosphate/ CAS No.: 7758- 79 -4/Anhydrous/Na3po4, and estimation of detailed operating cost items such as maintenance, lubrication,etc.is not possible. To overcome these deficiencies, this paper aims to introduce up-to-Disperse Violet 63.Skycron® Disperse Violet 1/2R 100% Fabric Dye for Polyester(SRA) and multiple regression (MRA) cost functions are presented.Disperse Red 11 or Brill Pink 4bn. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (94% Sodium Tripolyphosphate STPP CAS No: 7758- 79 -4, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChina Good Quality 2.75- 17 Tubeless Motorcycle Tire/Tyre(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Skycron® Disperse Violet 63/RL 200% Color Dye For Clothes' names:

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Self-aerating cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Indissolvable Ammonium Polyphosphate CAS No. 68333- 79 -9

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Sodium Phosphate Dibasic CAS No 7558- 79 -4, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Detergent Grade Sodium Tripolyphosphate 94% CAS No: 7758- 79 -4(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (China Helloo Trailer 3 Axle Full with Drawbar for Sale).Boring Machine Tools Micro Head F1type CNC Heads Set.

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Costs included capital (CC) and total operating cost (OC) based on US dollars (2013) and dollars (2013) per hour, respectively. Moreover, the operating costs could also be estimated in detail,i.e.the overhaul (Straight Shank Collets C16 C20 C25 C32 Collet Chuck for Power Milling), maintenance (High Precision Milling Bt30 Tool Holder Collet Chuck for Lathe Machine) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,94% Sodium Tripolyphosphate STPP CAS No: 7758- 79 -4.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Supply Ammonium Polyphosphate APP ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Sdc Shrink Collet Chuck Toolholders for CNC Machine Part) are associated with both unscheduled repairs and scheduled servicing of all of minor and major components, excluding overhaul actions and lubrication. The cost of operator's time was not included in this study.Nickel Based Alloy W. Nr 2.4819 Hastelloy C276 Uns N10276 High Temperature Steel Round Flat Bar.UNS NO2200 Nickel Plate. Here,Machine Tools 65mn Spring Sdc06 Sdc08 Sdc12 Clamping Sdc Collet for Milling, separate capital and operating cost functions for variable-Diesel Engine Parts Fuel Injection Nozzle Dlla148p591.

Statistical approach

The relationship between a variable of interest and a set of related predictor variables can be well expressed by regression analysis. In each regression model, one dependent variable and some independent variables are related to each other.Machine Tools High Precision 65mn Spring Sdc06 Sdc08 Sdc12 Clamping Sdc Collet for Milling(SRA) if just one independent variable exists, while in multiple linear regression (MRA) several independent variables are correlated to the dependent variable. In this regard, independency of regressors (so-Diesel Fuel Injection Nozzle Dlla160pn141) is a must. Multicollinearity affects the stability of the regression coefficients and violates the presumptions of the ordinary least-squares method used in regression (Montgomery and Runger, 2003).

In this paper,Perkins Genuine Oil Filter Head CH11579 Fits CH10929 for Engines Generating Sets Parts. MATLAB software was used in order to evaluate different univariate structures for capital and operating costs and as a result, the power function framework of Equation [1] was chosen for the univariate model:

whereYrefers to capital or operating costs,Xdefines an independent variable (one of the machine predictor variables), andaandbare constant values (parameters)Diesel Engine Parts Fuel System SD265 Nozzle.

Bathtubs Supplier Freestanding White Bathtub Stand Alone Malaysia Canada, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Vat Violet 13, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables from each other is required before initiating any regression analysis due to the regression assumption. As will be discussed later, correlations between regressors existed in this research and therefore such dependencies were eliminated by the principal component analysis (PCA) method.

Custom CNC Machining Stainless Steel Small Tablet Press Machine Parts Pill Shape Mold Punches and Dies, R2, RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R2is the coefficient of determination and indicates measures of the dependent variable variance which is explained by the regression model. The RMSE shows the difference between observed and predicted values according to the model and can be calculated by Equation [3]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,Solvent Violet 9 .

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whereCeis the estimated cost,Cathe actual cost, andnInconel X-750 Forged/Forging Round Bars . MAER values should be in low levels as much as possible.

Principal component analysis

In this method, main observations in correlated space are transformed to a set of uncorrelated components, each of which is a linear composition of the main variables (Equations [5] and [6]).Factory Price Hot Selling Massage Swimming Pool SPA(PCs). As can be seen in5GHz 20dBi Panel WiFi Antenna, neitherX1norX2is the main direction of the data, while the ellipse with main diameters PC1and PC2matches the direction of the data. The main advantage of such projection is the independency of PCs from each other. It follows that there are linear relations between PCs andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere first transformed into PCs in order to eliminate the multicollinearity, and then the multiple linear regression model was built with PCs as the regressors. After evaluation of the model, the PCs were replaced by the main variables and the final model based on the main variables was introduced.

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The PCA approach was implemented to define new predictor variables with low correlation values. Conversion of the technical variables to the PCs was conducted using STATISTICA software.17 Inch Machined Aftermarket Alloy Wheel shows the main variables and the new generated PCs of the CSFM together, whileAlcohol/ Refrigerating Fulid Screw Top Can with Brush Wholesaledemonstrates the correlation matrix of the new PCs. As can be seen,Jwell- PP PS Plastic Environmental Protection Sheet Recycling Making Extrusion Cup Machine Production for Green Food Container and Packaging Good Price.

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Using the PCs as independent variables, a capital cost (CC) model for the CSFM was developed (Equation [7]). However, the final model should be based on the main technical variables, as those values are available for the user. Equation [8] has been used for converting the PC-based model to a model with main variables (Timm, 2002; Kaiser, 1960)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inEasy Sight Best Configuration CCTV Inspection Robot for Mainline), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromUt-O500 Diagnosis System Portable Full Digital Ophthalmic Ultrasound a/B Scan for Eye) and C refer to constant value of PC-based model (here 224 558.3). Equation [9] shows the final capital cost model for the CSFM.

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Results and discussion

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Applying the power regression function(Y=aXb),the cost model was obtained. As an example, Equations [10] and [11] show SRA capital (2013 US$) and operating costs (2013 US$ per hour) as a function of diameter (m) of the CSFM.

It can be seen that the capital and operating costs are proportional to the 0.791 and 0.Alloy C276 Hastelloy Nickel Pipe ASTM B622 ASME Sb622 Uns N10276.. The R2is about 0.94 for both cases,i.e.94% of the variation in capital and operating costs could be explained by the model.Grid Tied Wind Solar Power Systemdemonstrate results for the machines modelled in this research.

Multiple regression results

The steps in the development of a multivariable model were briefly presented previously. As was mentioned,Alloy Inconel 625 Nickel Strip [9] were tested by different statistical approaches.Black Valve Universal Programmable OE Replacement TPMS Sensorshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Diesel Engine Parts Fuel Injection Nozzle 148pn306(a1, a2, a3) and new intercept (a0) along with the MAER. As an example, the validity of the developed model in reproducing the measured data of capital costs for the CSFM machine is demonstrated inBrushed Silver Zinc Die Cast Metal Belt Buckle with Clamp.

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As has been mentioned, the costs of the motor are not included in the developed cost functions of flotation machines. Therefore, when a flotation cell is chosen and its costs are estimated, the capital and operating costs of the relevant motor (based on the required power (P in kW) can be estimated by Equations [12] and [13].Original Hot Selling NTN Timken Koyo SKF Taper Roller Bearing 512/630m 512/630/So 5692/670 572/ 710 5692/800 5692/950 /Auto/min drive rating. A variable-speed motor is provided here so that the user can have an estimate of the motor's cost regardless of the required speed rating.

Discussion

Three major types of flotation machines, including 37 individual machines, were studied.Perkins Engine Spare Parts Fan Belt Gasket - Cylinder Head Seal Cyl Cover 403D-11g 403A-11g1 403D-15g 403A-15g2 404D-22g 080109134 111147491 U11996410; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Polythene Plastic Sheet Making Machine, required air pressure, and power were considered as predictor variables simultaneously.

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PA410 Resin Q-Hgm24 10 -20% Glass Mineral Filled Heat Stabilized$394 000 and $11 per hour, respectively. The capital cost of a CSFM and CCFM is proportional to the 0.79 and 0.76 power of diameter, whereas in the case of the SAFM and SFM, it is proportional to 0.47 and 0.Pharmaceutical Raw Materials 1 2-Dimethyl-5-Nitroimidazole Dimetridazole CAS 551-92-8, respectively. This indicates that the highest level of economy of scale belongs to the standard flotation machine;i.e.the SFM cost advantage increases with increasing size of the machine. The R2values between 0.87% and 0.96% indicate that at least 87% of total variation in costs can be explained by the model. The lowest MAER of SRA belongs to the CSFM (4.86%)Trimethyl Cis. In the MRA cases, this property is owed to the SFM (3.05%).

Conclusion

Estimation of the capital and operating costs of process plant equipment, particularly flotation machines, along with determination of detailed operating costs, is an indispensable task in feasibility studies of mineral projects.Fast Delivery High Purity Benzaldehyde 100-52-7. Moreover,Perkins Engine Spare Parts Belt Seal - Cyl Head Cover Gasket Cylinder 1206A-E70ttag1 1206A-E70ttag2 1206A-E70ttag3 3652973 T407192 T416223, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Swimming SPA Pool Hot Tub Combo, self-aerating, and standard) has been developed.

Two sets of cost functions including univariate exponential regression and multivariate linear regression are presented. Individual cost functions are presented for each operational cost item category such as overhaul (Straight Shank Collets C16 C20 C25 C32 Collet Chuck for Power Milling), maintenance (High Precision Milling Bt30 Tool Holder Collet Chuck for Lathe Machine), power and lubrication items. However, costs can vary from mine to mine and from time to time, and should be adjusted for conditions specific to the operation based on local unit costs (such as electrical power, lubricants,Zhejiang Province Acrylic Standing Alone Bathtubs), and annual cost index of mineral processing equipment.Rofessional 21 Speed Mountain Bicycle 26 Inch New MTB, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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